Converting 83.2232 to a Fraction
Step-by-step explanation of how to convert 83.2232 to a fraction

Result

83.2232 =
104029
1250
Mixed number:
83
279
1250

Step 1: Identify the number of decimal places

The decimal 83.2232 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

83.2232 × 10000 = 832232

Step 3: Write as a fraction

83.2232 =

832232
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 832232 and 10000.

GCD(832232, 10000) = 8

Divide both the numerator and denominator by the GCD:

832232
10000

=

832232 ÷ 8
10000 ÷ 8

=

104029
1250
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